That depends upon the reason for the license suspension. If it was because of an accumuation of points for various traffic violations, then yes, the DMV is suppose to notify you that you license is about tobe suspensed. Most suspensions, however, occur when a driver fails to respond to a traffic summons or fails to pay a fine after conviction. The suspension is automatic without further notice and IIRC, the cops are required by law to arrest the unlicensed driver.
Not true. The court sends a notice to the driver and the DMV that the license is being suspended on a certain date.